- #1
TheOogy
- 16
- 0
how do i calculate values of the riemann zeta function in the critical strip? because if you only know zeta as a series:
[tex]
\zeta(s) = \sum 1/n^s
[/tex]
and the functional equation
[tex]
\zeta(s) = 2^s\pi^{s-1}\sin\left(\frac{\pi s}{2}\right)\Gamma(1-s)\zeta(1-s) \!
[/tex]
you can only calculate values that have real part bigger then 1 or smaller then 0.
i know i can use a math software to calculate it but i want to understand the process.
[tex]
\zeta(s) = \sum 1/n^s
[/tex]
and the functional equation
[tex]
\zeta(s) = 2^s\pi^{s-1}\sin\left(\frac{\pi s}{2}\right)\Gamma(1-s)\zeta(1-s) \!
[/tex]
you can only calculate values that have real part bigger then 1 or smaller then 0.
i know i can use a math software to calculate it but i want to understand the process.